Solve the logarithmic equation using properties of logs. round to the nearest thousandth if necessary log 2x+logx=2

It is given that

Using

We get,

Also, if . Then

Therefore,

Dibide both sides by 2

is the required answer.

Given equation is

Now we have to solve this equation using properties of logs.

Apply formula

convert into exponent form using formula

take square root of both sides

x=7.0710678118

Rounding to nearest thousandth gives final answer as x=7.071

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116

i believe the answer is c.